# Homework Help: Standing waves and resonance frequency

1. Dec 20, 2008

### Niles

1. The problem statement, all variables and given/known data
Hi all.

I have shown that standing waves occur on a string of length L (fastened at x=0 and x=L) for angular frequencies:

$$\omega_n=n\frac{v\pi}{L}.$$

Are these frequencies the same as the strings resonance frequencies?

Regards,
Niles.

2. Dec 20, 2008

### LowlyPion

3. Dec 20, 2008

### Niles

Hmm, not really. I'm just wondering if the above frequencies are the resonant frequencies of the string.

4. Dec 20, 2008

### Redbelly98

Staff Emeritus
Yes. According to LowlyPion's link, standing waves are pretty much synonymous with a string's resonant modes.

5. Dec 20, 2008

### NBAJam100

Im gonna highjack this thread and say that redbelly has the best icon of all time... im not sure why but im laughing hysterically at the sight of a bird wrapped in Christmas lights hahah

6. Dec 20, 2008

### Niles

Hmm, yeah.. I guess it does say indirectly.

Thanks to all.

7. Dec 20, 2008

### Redbelly98

Staff Emeritus
Thanks!

You're welcome.